Particular solutions of singularly perturbed partial differential equations with constant coefficients in rectangular domains. I: Convergence analysis.
DOI10.1016/j.cam.2003.09.029zbMath1041.65085OpenAlexW2148499140WikidataQ59416209 ScholiaQ59416209MaRDI QIDQ1428498
Chung-Hua Hsu, Hsin-Yun Hu, Zi Cai Li, Songgui Wang
Publication date: 29 March 2004
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2003.09.029
convergencesingular perturbationnumerical examplesseries solutionconstant coefficientsseparation of variablesparticular solutions
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Series solutions to PDEs (35C10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
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Cites Work
- Penalty combinations of the Ritz-Galerkin and finite difference methods for singularity problems
- An analysis of a conforming exponentially fitted finite element method for a convection-diffusion problem
- The partition of unity method for the elastically supported beam
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