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In Klingenberg, Schnücke, and Xia (Math. Comp. 86 (2017), 1203–1232) an arbitrary Lagrangian-Eulerian discontinuous Galerkin (ALE-DG) method to solve conservation laws has been developed and analyzed.
HONG WANG, KAIXIN WANG, UNIFORM ESTIMATES OF AN EULERIAN—LAGRANGIAN METHOD FOR TIME-DEPENDENT CONVECTION-DIFFUSION EQUATIONS IN MULTIPLE SPACE DIMENSIONS, SIAM Journal on Numerical Analysis, Vol. 48, ...
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