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Space–Time Conservation Element and Solution Element Method Advances and Applications in Engineering Sciences
This open access book introduces the fundamentals of the space–time conservation element and solution element (CESE) method, which is a novel...
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Rings in which elements are sum of a central element and an element in the Jacobson radical
An element in a ring R is called CJ if it is of the form c+j , where c belongs to the center and j is an element from the Jacobson radical. A ring R ...
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A Mixed Finite Element and Characteristic Mixed Finite Element for Incompressible Miscible Darcy-Forchheimer Displacement and Numerical Analysis
In this paper a mixed finite element-characteristic mixed finite element method is discussed to simulate an incompressible miscible Darcy-Forchheimer...
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Boundary Element Method for Magnetohydrodynamic Flow 2D MHD Duct Flow Problems
Boundary Element Method for Magnetohydrodynamic Flow” offers one of the first systematic and detailed treatments of the application of boundary...
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An Augmented Two-Scale Finite Element Method for Eigenvalue Problems
In this paper, an augmented two-scale finite element method is proposed for a class of linear and nonlinear eigenvalue problems on tensor-product...
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On an Element-by-Element Description of the Monoid of all Endomorphisms of an Arbitrary Groupoid and One Classification of Endomorphisms of a Groupoid
The problem of element-by-element description of the monoid of all endomorphisms of an arbitrary groupoid is considered. It is established that this...
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Nonconforming finite element Stokes complexes in three dimensions
Two nonconforming finite element Stokes complexes starting from the conforming Lagrange element and ending with the nonconforming P 1 - P 0 element for...
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Interior estimates for the virtual element method
We analyze the local accuracy of the virtual element method. More precisely, we prove an error bound similar to the one holding for the finite...
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Nonlinear reduction using the extended group finite element method
In this paper, we develop a nonlinear reduction framework based on our recently introduced extended group finite element method. By interpolating...
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Local pointwise convergence of the 3D finite element
For an elliptic problem with variable coefficients in three dimensions, this article discusses local pointwise convergence of the three-dimensional...
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An adaptive finite element DtN method for the acoustic-elastic interaction problem
Consider the scattering of a time-harmonic acoustic incident wave by a bounded, penetrable and isotropic elastic solid, which is immersed in a...
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Finite Element Grad Grad Complexes and Elasticity Complexes on Cuboid Meshes
This paper constructs two conforming finite element grad grad and elasticity complexes on the cuboid meshes. For the finite element grad grad...
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A second-order convergent nonconforming polynomial stokes element on quadrilateral meshes
In this paper, we construct a new mixed finite element for the Stokes problem on general convex quadrilateral partitions. The velocity is...
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Symmetry and Invariant Bases in Finite Element Exterior Calculus
We study symmetries of bases and spanning sets in finite element exterior calculus, using representation theory. We want to know which vector-valued...
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Symplectic Hamiltonian Finite Element Methods for Semilinear Wave Propagation
This paper presents Hamiltonian finite element methods for approximating semilinear wave propagation problems, including the nonlinear Klein–Gordon...
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A family of conforming finite element divdiv complexes on cuboid meshes
In this paper, the first family of conforming finite element divdiv complexes on cuboid meshes is constructed. The complex exhibits exactness on a...
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Conforming and Nonconforming Virtual Element Methods for Signorini Problems
In this paper, we design and analyze the conforming and nonconforming virtual element methods for the Signorini problem. Under some regularity...
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A symplectic finite element method based on Galerkin discretization for solving linear systems
We propose a novel symplectic finite element method to solve the structural dynamic responses of linear elastic systems. For the dynamic responses of...
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The Nonconforming Virtual Element Method with Curved Edges
We introduce a nonconforming virtual element method for the Poisson problem on domains with fixed curved boundary and internal interfaces. We prove...
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A balanced finite-element method for an axisymmetrically loaded thin shell
We analyse a finite-element discretisation of a differential equation describing an axisymmetrically loaded thin shell. The problem is singularly...