Analysis of lumped approximations in the finite-element method for convection–diffusion problems
SV Siryk - Cybernetics and Systems Analysis, 2013 - Springer
Cybernetics and Systems Analysis, 2013•Springer
Abstract The Petrov–Galerkin finite-element method with a lumped mass matrix is analyzed.
It is stated that in some cases it excessively smoothes the solutions and causes large errors.
It is shown that weight functions can be chosen, which eliminate the above-mentioned
drawbacks. The corresponding approximations are constructed in the form of systems of
ordinary differential equations and finite-difference schemes. The theoretical results are
confirmed by calculated data.
It is stated that in some cases it excessively smoothes the solutions and causes large errors.
It is shown that weight functions can be chosen, which eliminate the above-mentioned
drawbacks. The corresponding approximations are constructed in the form of systems of
ordinary differential equations and finite-difference schemes. The theoretical results are
confirmed by calculated data.
Abstract
The Petrov–Galerkin finite-element method with a lumped mass matrix is analyzed. It is stated that in some cases it excessively smoothes the solutions and causes large errors. It is shown that weight functions can be chosen, which eliminate the above-mentioned drawbacks. The corresponding approximations are constructed in the form of systems of ordinary differential equations and finite-difference schemes. The theoretical results are confirmed by calculated data.
Springer
以上显示的是最相近的搜索结果。 查看全部搜索结果