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07/26/2023
A grid-overlay finite difference method for the fractional Laplacian on arbitrary bounded domains
A grid-overlay finite difference method is proposed for the numerical ap...
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05/29/2022
A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes
A well-balanced moving mesh discontinuous Galerkin (DG) method is propos...
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11/22/2021
Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations
Mesh sensitivity of finite element solution for linear elliptic partial ...
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09/13/2021
A Metric Tensor Approach to Data Assimilation with Adaptive Moving Meshes
Adaptive moving spatial meshes are useful for solving physical models gi...
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06/16/2021
A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes
The selection of time step plays a crucial role in improving stability a...
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01/13/2021
A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux
A high-order quasi-conservative discontinuous Galerkin (DG) method is pr...
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08/25/2020
A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations
A high-order, well-balanced, positivity-preserving quasi-Lagrange moving...
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06/26/2020
A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography
A rezoning-type adaptive moving mesh discontinuous Galerkin method is pr...
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06/25/2020
Domain Decomposition Parabolic Monge-Ampère Approach for Fast Generation of Adaptive Moving Meshes
A fast method is presented for adaptive moving mesh generation in multi-...
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03/25/2020
Permanent charge effects on ionic flow: a numerical study of flux ratios and their bifurcation
Ionic flow carries electrical signals for cells to communicate with each...
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10/25/2019
High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer
Solution interpolation between deforming meshes is an important componen...
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08/14/2019
Stability of explicit Runge-Kutta methods for high order finite element approximation of linear parabolic equations
We study the stability of explicit Runge-Kutta methods for high order La...
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08/12/2019