Adjoint pseudospectral least-squares methods for an elliptic boundary value problem

DOI10.1016/j.apnum.2008.02.008zbMath1159.65096OpenAlexW2120181439MaRDI QIDQ999081

Sang Dong Kim, Byeong Chun Shin

Publication date: 30 January 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.02.008

zbMATH Keywords

numerical resultsspectral convergenceadjoint first-order systemLegendre pseudospectral least-squares methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Cites Work

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• Spectral approximation for elliptic boundary value problems
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Finite Element Methods of Least-Squares Type
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
• Pseudospectral Least-Squares Method for the Second-Order Elliptic Boundary Value Problem
• Least-squares spectral collocation method for the Stokes equations
• First-Order System $\CL\CL^*$ (FOSLL*): Scalar Elliptic Partial Differential Equations
• High-Order Methods for Incompressible Fluid Flow
• First-Order System LL* (FOSLL*) for General Scalar Elliptic Problems in the Plane

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