Galerkin Finite Element Method by Using Bivariate Splines for Parabolic PDEs

Kai QU, Bo JIANG

Abstract


A Galerkin finite element method by using bivariate splines (GB method) is proposed for solving parabolic partial differential equations (PPDEs). Bivariate spline proper subspace of $S_4^{2,3}(\Delta_{mn}^{(2)})$ satisfying homogeneous boundary conditions on type-2 triangulations and quadratic B-spline interpolating boundary functions are primarily constructed. PPDEs are solved by the GB method.

Keywords


Finite element method; Galerkin method; Bivariate splines; Parabolic equations

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DOI: http://dx.doi.org/10.3968/j.pam.1925252820130601.248

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