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HP-finite element approximations on non-matching grids for partial differential equations with non-negative characteristic form

2003
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Mathematical Modelling and Numerical Analysis
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We propose and analyze a domain decomposition method on non-matching grids for partial differential equations with non-negative characteristic form. No weak or strong continuity of the finite element functions, their normal derivatives, or linear combinations of the two is imposed across the boundaries of the subdomains. Instead, we employ suitable bilinear forms defined on the common interfaces, typical of discontinuous Galerkin approximations. We prove an error bound which is optimal with

doi:10.1051/m2an:2003018
fatcat:tfktsslhqzb7ppxuw7d5ikipbu