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<title>Infinite element method</title>

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</style><table class="sidebar sidebar-collapse nomobile nowraplinks plainlist"><tbody><tr><th class="sidebar-title" style="background:#ccccff;display:block;margin-bottom:0.2em;"><a href="Differential_equation" title="Differential equation">Differential equations</a></th></tr><tr><th class="sidebar-heading" style="background:#ddddff;font-size:105%;display:block;margin-bottom:0.4em;">

Scope</th></tr><tr><td class="sidebar-content">

<div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;padding-bottom:0;;color: var(--color-base)">Fields</div><div class="sidebar-list-content mw-collapsible-content" style="padding-top:0;"><table class="sidebar nomobile nowraplinks" style="background-color: transparent; color: var( --color-base, #202122 ); border-collapse:collapse; border-spacing:0px; border:none; width:100%; margin:0px; font-size:100%; clear:none; float:none"><tbody><tr><th class="sidebar-heading" style="padding-bottom:0;">

<div class="hlist"><ul><li><a href="Natural_science" title="Natural science">Natural sciences</a></li><li><a href="Engineering" title="Engineering">Engineering</a></li></ul></div></th></tr><tr><td class="sidebar-content hlist" style="padding-bottom:0.6em;">

<ul><li><a href="Astronomy" title="Astronomy">Astronomy</a></li>

<li><a href="Physics" title="Physics">Physics</a></li>

<li><a href="Chemistry" title="Chemistry">Chemistry</a></li>

<li><br><a href="Biology" title="Biology">Biology</a></li>

<li><a href="Geology" title="Geology">Geology</a></li></ul></td>

</tr><tr><th class="sidebar-heading" style="padding-bottom:0;">

<a href="Applied_mathematics" title="Applied mathematics">Applied mathematics</a></th></tr><tr><td class="sidebar-content hlist" style="padding-bottom:0.6em;">

<ul><li><a href="Continuum_mechanics" title="Continuum mechanics">Continuum mechanics</a></li>

<li><a href="Chaos_theory" title="Chaos theory">Chaos theory</a></li>

<li><a href="Dynamical_systems" class="mw-redirect" title="Dynamical systems">Dynamical systems</a></li></ul></td>

</tr><tr><th class="sidebar-heading" style="padding-bottom:0;">

<a href="Social_science" title="Social science">Social sciences</a></th></tr><tr><td class="sidebar-content hlist" style="padding-bottom:0.6em;;padding-bottom:0;">

<ul><li><a href="Economics" title="Economics">Economics</a></li>

<li><a href="Population_dynamics" title="Population dynamics">Population dynamics</a></li></ul></td>

</tr></tbody></table>

<hr>

<a href="List_of_named_differential_equations" title="List of named differential equations">List of named differential equations</a></div></div></td>

</tr><tr><th class="sidebar-heading" style="background:#ddddff;font-size:105%;display:block;margin-bottom:0.4em;;display:block;margin-top:0.1em;">

Classification</th></tr><tr><td class="sidebar-content">

<div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;padding-bottom:0;;color: var(--color-base)">Types</div><div class="sidebar-list-content mw-collapsible-content" style="padding-top:0;"><table class="sidebar nomobile nowraplinks" style="background-color: transparent; color: var( --color-base, #202122 ); border-collapse:collapse; border-spacing:0px; border:none; width:100%; margin:0px; font-size:100%; clear:none; float:none"><tbody><tr><td class="sidebar-content">

<ul><li><a href="Ordinary_differential_equation" title="Ordinary differential equation">Ordinary</a></li>

<li><a href="Partial_differential_equation" title="Partial differential equation">Partial</a></li>

<li><a href="Differential-algebraic_system_of_equations" title="Differential-algebraic system of equations">Differential-algebraic</a></li>

<li><a href="Integro-differential_equation" title="Integro-differential equation">Integro-differential</a></li>

<li><a href="Fractional_differential_equations" class="mw-redirect" title="Fractional differential equations">Fractional</a></li>

<li><a href="Linear_differential_equation" title="Linear differential equation">Linear</a></li>

<li><a href="Non-linear_differential_equation" class="mw-redirect" title="Non-linear differential equation">Non-linear</a></li></ul>

</div></td>

</tr><tr><th class="sidebar-heading">

By variable type</th></tr><tr><td class="sidebar-content">

<ul><li><a href="Dependent_and_independent_variables" title="Dependent and independent variables">Dependent and independent variables</a></li></ul>

<ul><li><a href="Autonomous_differential_equation" class="mw-redirect" title="Autonomous differential equation">Autonomous</a></li>

<li>Coupled / Decoupled</li>

<li><a href="Exact_differential_equation" title="Exact differential equation">Exact</a></li>

<li><a href="Homogeneous_differential_equation" title="Homogeneous differential equation">Homogeneous</a> / <a href="Non-homogeneous_differential_equation" class="mw-redirect" title="Non-homogeneous differential equation">Nonhomogeneous</a></li></ul>

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Features</th></tr><tr><td class="sidebar-content">

<ul><li><a href="Ordinary_differential_equation#Definitions" title="Ordinary differential equation">Order</a></li>

<li><a href="Differential_operator" title="Differential operator">Operator</a></li></ul>

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<ul><li><a href="Notation_for_differentiation" title="Notation for differentiation">Notation</a></li></ul></td>

</tr></tbody></table></div></div></td>

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<div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;padding-bottom:0;;color: var(--color-base)">Relation to processes</div><div class="sidebar-list-content mw-collapsible-content" style="padding-top:0;">

<ul><li><a href="Difference_equation" class="mw-redirect" title="Difference equation">Difference <span style="font-size: 85%;">(discrete analogue)</span></a></li></ul>

<ul><li><a href="Stochastic_differential_equation" title="Stochastic differential equation">Stochastic</a>

<ul><li><a href="Stochastic_partial_differential_equation" title="Stochastic partial differential equation">Stochastic partial</a></li></ul></li>

<li><a href="Delay_differential_equation" title="Delay differential equation">Delay</a></li></ul>

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Solution</th></tr><tr><td class="sidebar-content">

<div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;padding-bottom:0;;color: var(--color-base)">Existence and uniqueness</div><div class="sidebar-list-content mw-collapsible-content" style="padding-top:0;">

<ul><li><a href="Picard%E2%80%93Lindel%C3%B6f_theorem" title="Picard–Lindelöf theorem">Picard–Lindelöf theorem </a></li>

<li><a href="Peano_existence_theorem" title="Peano existence theorem">Peano existence theorem</a></li>

<li><a href="Carath%C3%A9odory's_existence_theorem" title="Carathéodory's existence theorem">Carathéodory's existence theorem</a></li>

<li><a href="Cauchy%E2%80%93Kowalevski_theorem" class="mw-redirect" title="Cauchy–Kowalevski theorem">Cauchy–Kowalevski theorem</a></li></ul></div></div></td>

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<div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;padding-bottom:0;;color: var(--color-base)">General topics</div><div class="sidebar-list-content mw-collapsible-content" style="padding-top:0;"><div class="hlist">

<ul><li><a href="Initial_condition" title="Initial condition">Initial conditions</a></li>

<li><a href="Boundary_value_problem" title="Boundary value problem">Boundary values</a>

<ul><li><a href="Dirichlet_boundary_condition" title="Dirichlet boundary condition">Dirichlet</a></li>

<li><a href="Neumann_boundary_condition" title="Neumann boundary condition">Neumann</a></li>

<li><a href="Robin_boundary_condition" title="Robin boundary condition">Robin</a></li>

<li><a href="Cauchy_problem" title="Cauchy problem">Cauchy problem</a></li></ul></li>

<li><a href="Wronskian" title="Wronskian">Wronskian</a></li>

<li><a href="Phase_portrait" title="Phase portrait">Phase portrait</a></li>

<li><a href="Lyapunov_stability" title="Lyapunov stability">Lyapunov</a> / <a href="Asymptotic_stability" class="mw-redirect" title="Asymptotic stability">Asymptotic</a> / <a href="Exponential_stability" title="Exponential stability">Exponential stability</a></li>

<li><a href="Rate_of_convergence" title="Rate of convergence">Rate of convergence</a></li>

<li><span class="nowrap"><a href="Power_series_solution_of_differential_equations" title="Power series solution of differential equations">Series</a> / Integral solutions</span></li>

<li><a href="Numerical_integration" title="Numerical integration">Numerical integration</a></li>

<li><a href="Dirac_delta_function" title="Dirac delta function">Dirac delta function</a></li></ul>

</div></div></div></td>

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<div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;padding-bottom:0;;color: var(--color-base)">Solution methods</div><div class="sidebar-list-content mw-collapsible-content" style="padding-top:0;"><div class="hlist">

<ul><li>Inspection</li>

<li><a href="Method_of_characteristics" title="Method of characteristics">Method of characteristics</a></li>

<li><br><a href="Euler_method" title="Euler method">Euler</a></li>

<li><a href="Exponential_response_formula" title="Exponential response formula">Exponential response formula</a></li>

<li><a href="Finite_difference_method" title="Finite difference method">Finite difference</a> <span style="font-size: 85%;">(<a href="Crank%E2%80%93Nicolson_method" title="Crank–Nicolson method">Crank–Nicolson</a>)</span></li>

<li><a href="Finite_element_method" title="Finite element method">Finite element</a>

<li><a href="Finite_volume_method" title="Finite volume method">Finite volume</a></li>

<li><a href="Galerkin_method" title="Galerkin method">Galerkin</a>

<ul><li><a href="Petrov%E2%80%93Galerkin_method" title="Petrov–Galerkin method">Petrov–Galerkin</a></li></ul></li>

<li><a href="Green's_function" title="Green's function">Green's function</a></li>

<li><a href="Integrating_factor" title="Integrating factor">Integrating factor</a></li>

<li><a href="Integral_transform" title="Integral transform">Integral transforms</a></li>

<li><a href="Perturbation_theory" title="Perturbation theory">Perturbation theory</a></li>

<li><a href="Runge%E2%80%93Kutta_methods" title="Runge–Kutta methods">Runge–Kutta</a></li></ul>

</div>

<ul><li><a href="Separation_of_variables" title="Separation of variables">Separation of variables</a></li>

<li><a href="Method_of_undetermined_coefficients" title="Method of undetermined coefficients">Undetermined coefficients</a></li>

<li><a href="Variation_of_parameters" title="Variation of parameters">Variation of parameters</a></li></ul></div></div></td>

</tr><tr><th class="sidebar-heading" style="background:#ddddff;font-size:105%;display:block;margin-bottom:0.4em;">

People</th></tr><tr><td class="sidebar-content">

<ul><li><a href="Isaac_Newton" title="Isaac Newton">Isaac Newton</a></li>

<li><a href="Gottfried_Leibniz" class="mw-redirect" title="Gottfried Leibniz">Gottfried Leibniz</a></li>

<li><a href="Jacob_Bernoulli" title="Jacob Bernoulli">Jacob Bernoulli</a></li>

<li><a href="Leonhard_Euler" title="Leonhard Euler">Leonhard Euler</a></li>

<li><a href="Joseph-Louis_Lagrange" title="Joseph-Louis Lagrange">Joseph-Louis Lagrange</a></li>

<li><a href="J%C3%B3zef_Maria_Hoene-Wro%C5%84ski" title="Józef Maria Hoene-Wroński">Józef Maria Hoene-Wroński</a></li>

<li><a href="Joseph_Fourier" title="Joseph Fourier">Joseph Fourier</a></li>

<li><a href="Augustin-Louis_Cauchy" title="Augustin-Louis Cauchy">Augustin-Louis Cauchy</a></li>

<li><a href="George_Green_(mathematician)" title="George Green (mathematician)">George Green</a></li>

<li><a href="Carl_David_Tolm%C3%A9_Runge" class="mw-redirect" title="Carl David Tolmé Runge">Carl David Tolmé Runge</a></li>

<li><a href="Martin_Kutta" title="Martin Kutta">Martin Kutta</a></li>

<li><a href="Rudolf_Lipschitz" title="Rudolf Lipschitz">Rudolf Lipschitz</a></li>

<li><a href="Ernst_Lindel%C3%B6f" class="mw-redirect" title="Ernst Lindelöf">Ernst Lindelöf</a></li>

<li><a href="%C3%89mile_Picard" title="Émile Picard">Émile Picard</a></li>

<li><a href="Phyllis_Nicolson" title="Phyllis Nicolson">Phyllis Nicolson</a></li>

<li><a href="John_Crank" title="John Crank">John Crank</a></li></ul>

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<p>The <b>infinite element method</b> is a <a href="Numerical_analysis" title="Numerical analysis">numerical method</a> for solving problems of engineering and <a href="Mathematical_physics" title="Mathematical physics">mathematical physics</a>. It is a modification of <a href="Finite_element_method" title="Finite element method">finite element method</a>. The method divides the domain concerned into sections of infinite length. In contrast with a finite element which is approximated by polynomial expressions on a finite support, the unbounded length of the infinite element is fitted with functions allowing the evaluation of the field at the asymptote. The number of functions and points of interpolations define the accuracy of the element in the infinite direction.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> The method is commonly used to solve acoustic problems and allows to respect the <a href="Sommerfeld_radiation_condition" title="Sommerfeld radiation condition">Sommerfeld</a> condition of non-return of the acoustic waves and the diffusion of the pressure waves in the far field. <sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup>

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<div class="mw-heading mw-heading2"><h2 id="References">References</h2></div>

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</style><cite id="CITEREFYing1995" class="citation book cs1">Ying, Lung-an (1995). <i>Infinite Element Methods</i>. Peking University Press. <a href="ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <bdi>978-3-528-06610-9</bdi>.</cite></span>

</li>

<li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><cite id="CITEREFGerdes1998" class="citation book cs1">Gerdes, K. (1998). "Infinite Element Methods". <i>IUTAM Symposium on Computational Methods for Unbounded Domains</i>. Fluid Mechanics and its Applications. Vol. 49. pp. <span class="nowrap">143–</span>150. <a href="Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2F978-94-015-9095-2_15">10.1007/978-94-015-9095-2_15</a>. <a href="ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <bdi>978-90-481-5106-6</bdi>.</cite></span>

</li>

<li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><cite id="CITEREFAutriqueMagoulès2006" class="citation journal cs1">Autrique, Jean-Christophe; Magoulès, Frédéric (July 2006). <a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.apm.2005.08.022">"Studies of an infinite element method for acoustical radiation"</a>. <i>Applied Mathematical Modelling</i>. <b>30</b> (7): <span class="nowrap">641–</span>655. <a href="Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.apm.2005.08.022">10.1016/j.apm.2005.08.022</a></span>. <a href="ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0307-904X">0307-904X</a>.</cite></span>

</li>

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</style></div><div role="navigation" class="navbox" aria-labelledby="Numerical_methods_for_partial_differential_equations284" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Numerical_methods_for_partial_differential_equations284" style="font-size:114%;margin:0 4em"><a href="Numerical_methods_for_partial_differential_equations" title="Numerical methods for partial differential equations">Numerical methods for partial differential equations</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="Finite_difference_method" title="Finite difference method">Finite difference</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;"><a href="Parabolic_partial_differential_equation" title="Parabolic partial differential equation">Parabolic</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em">

<ul><li><a href="FTCS_scheme" title="FTCS scheme">Forward-time central-space</a> (FTCS)</li>

<li><a href="Crank%E2%80%93Nicolson_method" title="Crank–Nicolson method">Crank–Nicolson</a></li></ul>

</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;"><a href="Hyperbolic_partial_differential_equation" title="Hyperbolic partial differential equation">Hyperbolic</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em">

<ul><li><a href="Lax%E2%80%93Friedrichs_method" title="Lax–Friedrichs method">Lax–Friedrichs</a></li>

<li><a href="Lax%E2%80%93Wendroff_method" title="Lax–Wendroff method">Lax–Wendroff</a></li>

<li><a href="MacCormack_method" title="MacCormack method">MacCormack</a></li>

<li><a href="Upwind_scheme" title="Upwind scheme">Upwind</a></li>

<li><a href="Method_of_characteristics" title="Method of characteristics">Method of characteristics</a></li></ul>

</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;">Others</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em">

<ul><li><a href="Alternating_direction_implicit_method" class="mw-redirect" title="Alternating direction implicit method">Alternating direction-implicit</a> (ADI)</li>

<li><a href="Finite-difference_frequency-domain_method" title="Finite-difference frequency-domain method">Finite-difference frequency-domain</a> (FDFD)</li>

<li><a href="Finite-difference_time-domain_method" title="Finite-difference time-domain method">Finite-difference time-domain</a> (FDTD)</li></ul>

</div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="Finite_volume_method" title="Finite volume method">Finite volume</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em">

<ul><li><a href="Godunov's_scheme" title="Godunov's scheme">Godunov</a></li>

<li><a href="High-resolution_scheme" title="High-resolution scheme">High-resolution</a></li>

<li><a href="MUSCL_scheme" title="MUSCL scheme">Monotonic upstream-centered</a> (MUSCL)</li>

<li><a href="AUSM" class="mw-redirect" title="AUSM">Advection upstream-splitting</a> (AUSM)</li>

<li><a href="Riemann_solver" title="Riemann solver">Riemann solver</a></li>

<li><a href="ENO_methods" title="ENO methods">Essentially non-oscillatory</a> (ENO)</li>

<li><a href="WENO_methods" title="WENO methods">Weighted essentially non-oscillatory</a> (WENO)</li></ul>

</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="Finite_element_method" title="Finite element method">Finite element</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em">

<li><a href="Extended_finite_element_method" title="Extended finite element method">Extended</a> (XFEM)</li>

<li><a href="Discontinuous_Galerkin_method" title="Discontinuous Galerkin method">Discontinuous Galerkin</a> (DG)</li>

<li><a href="Spectral_element_method" title="Spectral element method">Spectral element</a> (SEM)</li>

<li><a href="Mortar_methods" title="Mortar methods">Mortar</a></li>

<li><a href="Gradient_discretisation_method" title="Gradient discretisation method">Gradient discretisation</a> (GDM)</li>

<li><a href="Loubignac_iteration" title="Loubignac iteration">Loubignac iteration</a></li>

<li><a href="Smoothed_finite_element_method" title="Smoothed finite element method">Smoothed</a> (S-FEM)</li></ul>

</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="Meshfree_methods" title="Meshfree methods">Meshless/Meshfree</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em">

<ul><li><a href="Smoothed-particle_hydrodynamics" title="Smoothed-particle hydrodynamics">Smoothed-particle hydrodynamics</a> (SPH)</li>

<li><a href="Peridynamics" title="Peridynamics">Peridynamics</a> (PD)</li>

<li><a href="Moving_particle_semi-implicit_method" title="Moving particle semi-implicit method">Moving particle semi-implicit method</a> (MPS)</li>

<li><a href="Material_point_method" title="Material point method">Material point method</a> (MPM)</li>

<li><a href="Particle-in-cell" title="Particle-in-cell">Particle-in-cell</a> (PIC)</li></ul>

</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="Domain_decomposition_methods" title="Domain decomposition methods">Domain decomposition</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em">

<ul><li><a href="Schur_complement_method" title="Schur complement method">Schur complement</a></li>

<li><a href="Fictitious_domain_method" title="Fictitious domain method">Fictitious domain</a></li>

<li><a href="Schwarz_alternating_method" title="Schwarz alternating method">Schwarz alternating</a>

<ul><li><a href="Additive_Schwarz_method" title="Additive Schwarz method">additive</a></li>

<li><a href="Abstract_additive_Schwarz_method" title="Abstract additive Schwarz method">abstract additive</a></li></ul></li>

<li><a href="Neumann%E2%80%93Dirichlet_method" title="Neumann–Dirichlet method">Neumann–Dirichlet</a></li>

<li><a href="Neumann%E2%80%93Neumann_methods" title="Neumann–Neumann methods">Neumann–Neumann</a></li>

<li><a href="Poincar%C3%A9%E2%80%93Steklov_operator" title="Poincaré–Steklov operator">Poincaré–Steklov operator</a></li>

<li><a href="Balancing_domain_decomposition_method" title="Balancing domain decomposition method">Balancing</a> (BDD)</li>

<li><a href="BDDC" title="BDDC">Balancing by constraints</a> (BDDC)</li>

<li><a href="FETI" title="FETI">Tearing and interconnect</a> (FETI)</li>

</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Others</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em">

<ul><li><a href="Spectral_method" title="Spectral method">Spectral</a></li>

<li><a href="Pseudo-spectral_method" title="Pseudo-spectral method">Pseudospectral</a> (DVR)</li>

<li><a href="Method_of_lines" title="Method of lines">Method of lines</a></li>

<li><a href="Multigrid_method" title="Multigrid method">Multigrid</a></li>

<li><a href="Collocation_method" title="Collocation method">Collocation</a></li>

<li><a href="Level-set_method" title="Level-set method">Level-set</a></li>

<li><a href="Boundary_element_method" title="Boundary element method">Boundary element</a>

<ul><li><a href="Method_of_moments_(electromagnetics)" title="Method of moments (electromagnetics)">Method of moments</a></li></ul></li>

<li><a href="Immersed_boundary_method" title="Immersed boundary method">Immersed boundary</a></li>

<li><a href="Analytic_element_method" title="Analytic element method">Analytic element</a></li>

<li><a href="Isogeometric_analysis" title="Isogeometric analysis">Isogeometric analysis</a></li>

<li><a href="Infinite_difference_method" title="Infinite difference method">Infinite difference method</a></li>

<li><a href="Galerkin_method" title="Galerkin method">Galerkin method</a>

<ul><li><a href="Petrov%E2%80%93Galerkin_method" title="Petrov–Galerkin method">Petrov–Galerkin method</a></li></ul></li>

<li><a href="Validated_numerics" title="Validated numerics">Validated numerics</a></li>

<li><a href="Computer-assisted_proof" title="Computer-assisted proof">Computer-assisted proof</a></li>

<li><a href="Integrable_algorithm" title="Integrable algorithm">Integrable algorithm</a></li>

<li><a href="Method_of_fundamental_solutions" title="Method of fundamental solutions">Method of fundamental solutions</a></li></ul>

</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em">

<ul><li><a href="Numerical_methods_for_ordinary_differential_equations" title="Numerical methods for ordinary differential equations">Numerical methods for ordinary differential equations</a></li>

<li><a href="Numerical_integration" title="Numerical integration">Numerical integration</a></li></ul>

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