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Weak formulation
"... • realistic domains are not shoe boxes, • no general tools for the meshing of complex 3D domains using Voronoï or Delaunay tessellations, • generalized hexahedric meshes often used, • full stress tensors (compressible flows), •mesh refinement for boundary layers non matching grids. Drawbacks of the ..."
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• collocated cellcentred scheme with local stencil, • s.d.p. matrices for the diffusion operator, •mathematical convergence properties, • numerical preservation of the maximum principle in 3D, • discrete kinetic and energy balances, • local pressure stabilization. 2. Continuous formulation Strong formulation
ON WEAKLY FORMULATED SYLVESTER EQUATIONS AND APPLICATIONS
, 2005
"... Abstract. We use a “weakly formulated ” Sylvester equation ..."
Weak Formulation of FreeSurface Wave Equations
"... Abstract. An alternative method for deriving water wave dispersion relations and evolution equations is to use a weak formulation. ∞X The freesurface displacement η is written as an eigenfunction expansion, η = an(t)En n=1 where the an(t) are timedependent coefficients. For a tank with vertical si ..."
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Abstract. An alternative method for deriving water wave dispersion relations and evolution equations is to use a weak formulation. ∞X The freesurface displacement η is written as an eigenfunction expansion, η = an(t)En n=1 where the an(t) are timedependent coefficients. For a tank with vertical
Conserving Galerkin weak formulations for computational fracture mechanics
"... In this paper, a notion of invariant Galerkinvariational weak forms is proposed. Two specic invariant variational weak forms, the Jinvariant and the Linvariant, are constructed based on the corresponding conservation laws in elasticity, one of which is the conservation of Eshelby’s energymomentu ..."
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In this paper, a notion of invariant Galerkinvariational weak forms is proposed. Two specic invariant variational weak forms, the Jinvariant and the Linvariant, are constructed based on the corresponding conservation laws in elasticity, one of which is the conservation of Eshelby’s energy
WEAK FORMULATION FOR NONLINEAR HYPERBOLIC STEFAN PROBLEMS
"... hyperbolic doubly nonlinear problem. The results apply to a general version of the hyperbolic Stefan problem with memory. 1. ..."
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hyperbolic doubly nonlinear problem. The results apply to a general version of the hyperbolic Stefan problem with memory. 1.
Equivalence of Weak Formulations of the Steady Water Waves Equations by Eugen Varvaruca and Arghir ZarnescuEQUIVALENCE OF WEAK FORMULATIONS OF THE STEADY WATER WAVES EQUATIONS
, 2011
"... Abstract. We prove the equivalence of three weak formulations of the steady water waves equations, namely the velocity formulation, the stream function formulation, and the DubreilJacotin formulation, under weak Hölder regularity assumptions on their solutions. 1. ..."
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Cited by 5 (1 self)
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Abstract. We prove the equivalence of three weak formulations of the steady water waves equations, namely the velocity formulation, the stream function formulation, and the DubreilJacotin formulation, under weak Hölder regularity assumptions on their solutions. 1.
WEAK FORMULATION OF SINGULAR DIFFERENTIAL EXPRESSIONS IN SPACES OF FUNCTIONS WITH MINIMAL DERIVATIVES
, 2004
"... A weak formulation for singular symmetric differential expressions is presented in spaces of functions which possess minimal differentiability requirements. These spaces are used to characterize the domains of the various operators associated with such expressions. In particular, domains of selfadj ..."
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A weak formulation for singular symmetric differential expressions is presented in spaces of functions which possess minimal differentiability requirements. These spaces are used to characterize the domains of the various operators associated with such expressions. In particular, domains of self
ContinuousTime PrincipalAgent Problems with Hidden Action: The weak formulation
, 2005
"... We consider the problem of optimal contracts in continuous time, when the agent’s actions are unobservable by the principal. We apply the stochastic maximum principle to give necessary conditions for optimal contracts, both for the case of the utility from the payoff being separable and not separabl ..."
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Cited by 9 (4 self)
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, the fact which was known before for exponential and linear utility functions. For general nonseparable utility functions, sufficient conditions are hard to establish, but we suggest a way to check sufficiency using nonconvex optimization. Unlike previous work on the subject, we use the weak formulation
Grasselli: Wellposedness of the weak formulation for the phasefield model with memory, Adv
 Differential Equations
, 1997
"... Abstract. A phase–field model based on the Gurtin–Pipkin heat flux law is considered. This model consists in a Volterra integrodifferential equation of hyperbolic type coupled with a nonlinear parabolic equation. The system is then associated with a set of initial and Neumann boundary conditions. Th ..."
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Cited by 20 (8 self)
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. The resulting problem was already studied by the authors who proved existence and uniqueness of a smooth solution. A careful and detailed investigation on weak solutions is the goal of this paper, going from the aspects of the approximation to the proof of continuous dependence estimates. In addition, a
Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction
"... Abstract. This work is concerned with the equilibrium configurations of elastic structures in contact with Coulomb friction. We obtain a variational formulation of this equilibrium problem. Then we propose sufficient conditions for the existence of an infinity of equilibrium configurations with arbi ..."
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Abstract. This work is concerned with the equilibrium configurations of elastic structures in contact with Coulomb friction. We obtain a variational formulation of this equilibrium problem. Then we propose sufficient conditions for the existence of an infinity of equilibrium configurations
Results 1  10
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3,168