Mixed VEM with novel non-linear stabilization for p-Laplace equation, establishing non-Hilbertian inf-sup stability, continuity, coercivity, and a priori error estimates.
Basic principles of mixed Virtual Element Methods
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A novel high-order stabilization-free virtual element method is developed for general second-order elliptic eigenvalue problems, with optimal a priori error estimates for eigenspaces and eigenvalues, validated on various polygonal meshes.
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A Mixed Virtual Element Method for the p-Laplace equation
Mixed VEM with novel non-linear stabilization for p-Laplace equation, establishing non-Hilbertian inf-sup stability, continuity, coercivity, and a priori error estimates.
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A high order stabilization-free virtual element method for general second-order elliptic eigenvalue problem
A novel high-order stabilization-free virtual element method is developed for general second-order elliptic eigenvalue problems, with optimal a priori error estimates for eigenspaces and eigenvalues, validated on various polygonal meshes.