Summation-by-Parts Operators for Non-Simply Connected Domains
نویسندگان
چکیده
منابع مشابه
On Coordinate Transformations for Summation-by-Parts Operators
High order finite difference methods obeying a summation-by-parts (SBP) rule are developed for equidistant grids. With curvilinear grids, a coordinate transformation operator that does not destroy the SBP property must be used. We show that it is impossible to construct such an operator without decreasing the order of accuracy of the method.
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We develop a new high order accurate time-discretisation technique for initial value problems. We focus on problems that originate from a space discretisation using high order finite difference methods on summation-by-parts form with weak boundary conditions, and extend that technique to the time-domain. The new timediscretisation method is global and together with the approximation in space, i...
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This paper continues our effort to generalize summation-by-parts (SBP) finite-difference methods beyond tensor-products in multiple dimensions. In this work, we focus on the accurate and stable coupling of elements in the context of discontinuous solution spaces. We show how penalty terms — simultaneous approximation terms (SATs) — can be adapted to discretizations based on multi-dimensional SB...
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Gioel Calabrese, Luis Lehner, Oscar Reula, Olivier Sarbach, and Manuel Tiglio 1 Department of Physics and Astronomy, Louisiana State University, 202 Nicholson Hall, Baton Rouge, LA 70803-4001 2 School of Mathematics, University of Southampton, Southampton, SO17 1BJ, UK 3 FaMAF, Universidad Nacional de Cordoba, Cordoba, Argentina 5000 4 Center for Computation and Technology, 302 Johnston Hall, L...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2018
ISSN: 1064-8275,1095-7197
DOI: 10.1137/18m1163671