Selected Publications of Richard S. Falk
The publication information and abstract for each of the papers listed below
may be seen as a plain text file by clicking on the word info next to the
desired paper. Full text versions of the paper may be viewed as PDF or in
some cases as DVI or postscript files.
- Mixed finite element approximation of the vector Laplacian with
Dirichlet boundary conditions
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- Finite element exterior calculus: from Hodge theory to
numerical stability
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- Hexahedral H(div) and H(curl) finite elements
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Geometric decompositions and local bases for spaces
of finite element differential forms
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- A Fortin operator for two-dimensional Taylor-Hood elements
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- Finite element methods for linear elasticity
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- Finite elements for the Reissner-Mindlin plate
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- Finite element exterior calculus, homological techniques,
and applications
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- Locking-free Reissner-Mindlin elements without reduced
intgration
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- Mixed finite elements for linear elasticity with
weakly imposed symmetry
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- Differential complexes and stability of finite element methods.
II. The elasticity complex
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- Differential complexes and stability of finite element methods.
I. The de Rham complex
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- Quadrilateral H(div) finite elements
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- Remarks on quadrilateral Reissner-Mindlin plate elements
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- Finite element approximation on quadrilateral meshes
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- Approximation by quadrilateral finite elements
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- Analysis of finite element methods for linear hyperbolic problems
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- Explicit finite element methods for linear hyperbolic systems
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- Locking-free finite elements for the Reissner-Mindlin Plate
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- Multigrid in H(div) and H(curl)
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- Analysis of a one-dimensional variational model of the equilibrium
shape of a deformable crystal
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- Explicit finite element methods for symmetric hyperbolic equations
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- Multigrid preconditioning in H(div) on non-convex polygons
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- Derivation and justification of plate models by variational methods
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- Preconditioning in H(div) and applications
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- Preconditioning discrete approximations of the Reissner-Mindlin
plate model
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- Space-time finite element methods for surface diffusion with
applications to the theory of stability of cylinders
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- Analysis of a linear--linear finite element for the Reissner-Mindlin
Plate Model
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- Equivalence of finite element methods for problems in
elasticity,
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- The boundary layer for the Reissner-Mindlin plate model
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- Asymptotic analysis of the boundary layer for the Reissner-Mindlin
plate model
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- Well-posedness of the fundamental boundary value problems
for constrained anisotropic materials
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- A new mixed formulation for elasticity
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- A uniformly accurate finite element method for the
Reissner-Mindlin plate model
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- Edge effects in the Reissner-Mindlin plate theory
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- Remarks on mixed finite element methods for problems with rough coefficients
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- Convergence of a second-order scheme for the nonlinear
dynamical equations of elastic rods
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- Reduced continuity finite element methods for first order
scalar hyperbolic equations
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- Nonconforming finite element methods for the equations
of linear elasticity
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- Nonconforming finite elements for the Stokes problem
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- A finite element method for the approximation of the incompressible,
linearized Euler equations
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- Error estimates for the numerical identification of a variable
coefficient
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- Analysis of a continuous finite element scheme for hyperbolic
equations
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- Error estimates for mixed methods
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- An error estimate for the truncation method for the solution of
a parabolic variational inequality
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- Error estimates for elasto-plastic problems
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- Error estimates for the approximation of a class of variational
inequalities
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- Approximation of a class of optimal control problems with order
of convergence estimates
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