Convergence of a Second-Order Linearized BDF–IPDG for Nonlinear Parabolic Equations with Discontinuous Coefficients
| Autor: | Chaoxia Yang, Lunji Song |
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| Rok vydání: | 2016 |
| Předmět: |
Backward differentiation formula
Numerical Analysis Discretization Applied Mathematics Mathematical analysis General Engineering 010103 numerical & computational mathematics 01 natural sciences Finite element method Theoretical Computer Science 010101 applied mathematics Computational Mathematics Nonlinear system Computational Theory and Mathematics Discontinuous Galerkin method Convergence (routing) Piecewise 0101 mathematics Software Extended finite element method Mathematics |
| Zdroj: | Journal of Scientific Computing. 70:662-685 |
| ISSN: | 1573-7691 0885-7474 |
| DOI: | 10.1007/s10915-016-0261-2 |
| Popis: | We study the anti-symmetric interior over-penalized discontinuous Galerkin finite element methods for solving nonlinear parabolic interface problems with second-order backward difference formula for the time discretization, where the diffusion coefficient depends on the unknown solution and is discontinuous across the interface. We present optimal-order error estimates for the finite element solution based on piecewise regularity of the solution. |
| Databáze: | OpenAIRE |
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