H(curl)-based stabilized finite element methods are developed and tested for incompressible MHD to handle nonconvex domains without Lagrange multipliers for the magnetic field while maintaining pressure-robustness and quasi-robustness to Reynolds numbers.
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A structure-preserving LDG discretization with backward Euler for conformational conversion systems that enforces positivity, proves entropy stability and convergence, and yields existence of global weak solutions.
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Robust H(curl)-based finite element methods for the incompressible MHD system
H(curl)-based stabilized finite element methods are developed and tested for incompressible MHD to handle nonconvex domains without Lagrange multipliers for the magnetic field while maintaining pressure-robustness and quasi-robustness to Reynolds numbers.
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Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems
A structure-preserving LDG discretization with backward Euler for conformational conversion systems that enforces positivity, proves entropy stability and convergence, and yields existence of global weak solutions.