Order-Preserving Interpolation for Summation-by-Parts Operators at Nonconforming Grid Interfaces
نویسندگان
چکیده
منابع مشابه
Summation-by-parts operators and high-order quadrature
Summation-by-parts (SBP) operators are finite-difference operators that mimic integration by parts. The SBP operator definition includes a weight matrix that is used formally for discrete integration; however, the accuracy of the weight matrix as a quadrature rule is not explicitly part of the SBP definition. We show that SBP weight matrices are related to trapezoid rules with end corrections w...
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In this paper we extend the results from our earlier work on stable boundary closures for the Schrödinger equation using the summation-by-parts-simultaneous approximation term (SBP–SAT) method [8] to include stability and accuracy at non-conforming grid interfaces. Stability at the grid interface is shown by the energy method, and the estimates are generalized to multiple dimensions. The accura...
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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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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2019
ISSN: 1064-8275,1095-7197
DOI: 10.1137/18m1191609