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By considering the differentially heated cavity and the melting of pure gallium in a rectangular enclosure, it is shown that both boundary layers and sharp moving interior layers can be handled naturally by the proposed class of non-conforming methods.
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Here, we examine the adaptation of a relatively inexpensive, non-conforming method based on C0-continuous basis functions.
We derive necessary and sufficient conditions in order for the mixed method formulation of such a non-conforming method to have a unique solution.
Subsequently, two H div) non-conforming symmetric mixed methods arose.
A relatively inexpensive, non-conforming finite-element method based on C0-continuous basis functions is presented.
As a result, a non-conforming meshfree Galerkin method for the elasticity interface problem is devised and is shown to satisfy an optimal error estimate in the energy norm.
Gradient schemes is a framework which enables the unified convergence analysis of many different methods–such as finite elements (conforming, non-conforming and mixed) and finite volumes methods for 2nd order diffusion equations.
Accordingly, the sanctioning of non-conforming behavior (see Sec. Methods for details) is not the only mechanism to support the evolution of norms.
Due to the spherical nature of the non-conforming interfaces the mortar method turns out to be functionally conforming and allows for an equal-order interpolation of the primal variables and the Lagrange multipliers.
Buildings non-conforming and conforming to the strong-column weak-beam (SCWB) design criterion are considered.
We perform a comparison of mass conservation properties of the continuous (CG) and discontinuous (DG) Galerkin methods on non-conforming, dynamically adaptive meshes for two atmospheric test cases.
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