A Trefftz type method for time-dependent problems

DOI10.1016/S0955-7997(03)00115-2zbMath1050.65095OpenAlexW1980721052MaRDI QIDQ597575

Sumit K. Garg

Publication date: 6 August 2004

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(03)00115-2

zbMATH Keywords

Numerical examplesEigenfunctionsApproximate trial functionsParticular solutionTime differencingTrefftz type method

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic equations (35K15)

Related Items (7)

The method of approximate fundamental solutions (MAFS) for Stefan problems for the sphere ⋮ A Trefftz based method for solving Helmholtz problems in semi-infinite domains ⋮ The method of approximate fundamental solutions (MAFS) for Stefan problems ⋮ A Trefftz method in space and time using exponential basis functions: application to direct and inverse heat conduction problems ⋮ A meshless method for one-dimensional Stefan problems ⋮ A boundary method of Trefftz type for PDEs with scattered data ⋮ The method of approximate fundamental solutions (MAFS) for elliptic equations of general type with variable coefficients

Cites Work

• Evaluation of thin plate spline based particular solutions for Helmholtz-type operators for the DRM
• The method of fundamental solutions for elliptic boundary value problems
• A boundary method of Trefftz type with approximate trial functions
• Particular solutions of Helmholtz-type operators using higher order polyharmonic splines
• Numerical justification of fundamental solutions and the quasi-Monte Carlo method for Poisson-type equations
• Quasi-Trefftz spectral method for separable linear elliptic equations
• \(T\)- and \(D\)-matrix methods for electromagnetic scattering by impedance obstacles
• The Numerical Evaluation of Particular Solutions for Poisson's Equation
• Fundamental Solutions Method for Elliptic Boundary Value Problems
• Generalized finite element analysis with T-complete boundary solution functions
• Direct solution procedure for solution of harmonic problems using complete, non-singular, Trefftz functions
• Dual reciprocity method using compactly supported radial basis functions
• The method of fundamental solutions and quasi-Monte-Carlo method for diffusion equations
• Recent developments of the Trefftz method for finite element and boundary element applications
• On trial functions applied in the generalized Trefftz method
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