A Least Squares Method for Solving Biharmonic Problems

DOI10.1137/S0036142999335383zbMath0987.65120OpenAlexW2088098554MaRDI QIDQ2706375

R. W. Thatcher

Publication date: 19 March 2001

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142999335383

zbMATH Keywords

convergencefinite element methodnumerical examplesbiharmonic equationleast squares method

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Sinc-Galerkin method for solving biharmonic problems, An augmented method for 4th order PDEs with discontinuous coefficients, A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow, A least-squares finite element method for the Navier--Stokes equations, On mass conservation in least-squares methods, Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation, Calculating the discharge from a porous dam