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06/22/2023
Sixth-Order Hybrid FDMs and/or the M-Matrix Property for Elliptic Interface Problems with Mixed Boundary Conditions
In this paper, we develop sixth-order hybrid finite difference methods (...
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10/04/2022
Compact 9-Point Finite Difference Methods with High Accuracy Order and/or M-Matrix Property for Elliptic Cross-Interface Problems
In this paper we develop finite difference schemes for elliptic problems...
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05/03/2022
Hybrid Finite Difference Schemes for Elliptic Interface Problems with Discontinuous and High-Contrast Variable Coefficients
For elliptic interface problems with discontinuous coefficients, the max...
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05/10/2021
A High Order Compact Finite Difference Scheme for Elliptic Interface Problems with Discontinuous and High-Contrast Coefficients
The elliptic interface problems with discontinuous and high-contrast coe...
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04/16/2021
Sixth Order Compact Finite Difference Scheme for Poisson Interface Problem with Singular Sources
Let Γ be a smooth curve inside a two-dimensional rectangular region Ω. I...
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04/28/2020