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Solution of Non-linear Dispersive Wave Problems Using a Moving Finite Element Method (2007)
Journal Article
Wacher, A., & Givoli, D. (2007). Solution of Non-linear Dispersive Wave Problems Using a Moving Finite Element Method. Communications in numerical methods in engineering, 23(4), 253-262. https://doi.org/10.1002/cnm.897

The solution of the fully non-linear time-dependent two-dimensional shallow water equations is considered. Dispersive effects due to the Coriolis forces are taken into account. Such effects are of major importance in geophysical fluid dynamics applic... Read More about Solution of Non-linear Dispersive Wave Problems Using a Moving Finite Element Method.

String Gradient Weighted Moving Finite Elements in Multiple Dimensions with Applications in Two Dimensions (2007)
Journal Article
Wacher, A., & Sobey, I. (2007). String Gradient Weighted Moving Finite Elements in Multiple Dimensions with Applications in Two Dimensions. SIAM Journal on Scientific Computing, 29(2), 459-480. https://doi.org/10.1137/040619557

We formulate the string gradient weighted moving finite element method (SGWMFE) for systems of PDEs in multiple dimensions. Then we illustrate implementation issues for the method using two dimensions. The method is applied successfully to solve the... Read More about String Gradient Weighted Moving Finite Elements in Multiple Dimensions with Applications in Two Dimensions.