Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method

DOI10.1016/j.enganabound.2014.08.007zbMath1403.65164OpenAlexW2069136440MaRDI QIDQ1653592

Pai-Chen Guan, Chung-Lun Kuo, Chia-Ming Fan, Cheng-Yu Ku, Chein-Shan Liu

Publication date: 6 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.08.007

zbMATH Keywords

three-dimensionalTrefftz methodill-conditionedmultiple scaledynamical Jacobian-inverse free method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35)

Related Items (12)

A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy problems of steady heat conduction ⋮ The MFS versus the Trefftz method for the Laplace equation in 3D ⋮ A Trefftz collocation method (TCM) for three-dimensional linear elasticity by using the Papkovich-Neuber solutions with cylindrical harmonics ⋮ A novel localized collocation solver based on Trefftz basis for potential-based inverse electromyography ⋮ On solving elliptic boundary value problems using a meshless method with radial polynomials ⋮ A meshfree method for the solution of 2D and 3D second order elliptic boundary value problems in heterogeneous media ⋮ Solving subsurface flow toward wells in layered soils using hybrid method of fundamental solutions ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ On modeling subsurface flow using a novel hybrid Trefftz-MFS method ⋮ A homogenization function technique to solve the 3D inverse Cauchy problem of elliptic type equations in a closed walled shell ⋮ Many names of the Trefftz method ⋮ On rank-deficiency in direct Trefftz method for 2D Laplace problems

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