Nonconforming elements in least-squares mixed finite element methods
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Publication:4433118
DOI10.1090/S0025-5718-03-01520-5zbMath1035.65124MaRDI QIDQ4433118
Publication date: 29 October 2003
Published in: Mathematics of Computation (Search for Journal in Brave)
least-squaresfirst-order systemsmixed methodssecond-order elliptic equationRaviart-Thomas finite elementsconforming and nonconforming finite element discretizationsregular quadrilaterals
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (13)
Direct serendipity and mixed finite elements on convex quadrilaterals ⋮ Continuous finite element methods for Reissner-Mindlin plate problem ⋮ A locking-free Reissner-Mindlin quadrilateral element ⋮ A div FOSLS method suitable for quadrilateral RT and hexahedral RTN \(H(\operatorname{div})\)-elements ⋮ Least-squares methods with nonconforming finite elements for general second-order elliptic equations ⋮ Mixed and nonconforming finite element approximations of Reissner-Mindlin plates. ⋮ \(C ^{0}\) elements for generalized indefinite Maxwell equations ⋮ Construction of \(H({\operatorname{div}})\)-conforming mixed finite elements on cuboidal hexahedra ⋮ Mixed Finite Element Method with Gauss's Law Enforced for the Maxwell Eigenproblem ⋮ A family of optimal Lagrange elements for Maxwell's equations ⋮ Mixed finite elements of least-squares type for elasticity ⋮ A mixed method for Maxwell eigenproblem ⋮ Two lower order nonconforming quadrilateral elements for the Reissner-Mindlin plate
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