Wave equations
Fourth order energy-preserving locally implicit time discretization for linear wave equations
... elastodynamics equations illustrate the good behavior of the schemes and their potential for the simulation of realistic highly heterogeneous media or strongly refined geometries, for which using everywhere an ...
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Resolution strategy for the Hybridizable Discontinuous Galerkin system for solving Helmholtz elastic wave equations
... Resolution strategy for the Hybridizable Discontinuous Galerkin system for solving Helmholtz elastic wave equations.. Face to face meeting HPC4E Brazilian-European project, Sep 2016, Gra[r] ...
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Some transmission problems of waves and viscoelastic wave equations with delay and an evolutionary problem
... Several authors have studied transmission problems in the wave and viscoelastic wave equations and in thermoelasticity. Different stabilization results have been established. The authores in [28] ...
128
Constructive exact control of semilinear 1D wave equations by a least-squares approach
... 1D wave equation ∂ tt y − ∂ xx y + g(y) = f 1 ω , with Dirichlet boundary conditions, is exactly controllable in H 0 1 (0, 1) ∩ L 2 (0, 1) with controls f ∈ L 2 ((0, 1) × (0, T )), for any T > 0 and any ...
20
Invariant Gibbs measures for the 2-d defocusing nonlinear wave equations
... INVARIANT GIBBS MEASURES FOR THE 2-d DEFOCUSING NONLINEAR WAVE EQUATIONS TADAHIRO OH AND LAURENT THOMANN Abstract. We consider the defocusing nonlinear wave equations (NLW) on the two- ...
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How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods
... a wave operator, an observation time T and a generic observation subdomain constitutes in general a hard task, even for one-dimensional ...dimensional wave equations: the first one uses a spectral ...
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Optimal Control of Infinite Dimensional Bilinear Systems: Application to the Heat and Wave Equations
... w[v](s) 2 ds + w[v](T ) 2 we obtain condition (4.28). ⇤ 5. Applications In this application section, after a general discussion for the case of diagonal- izable operators, where the semigroup properties can be related to ...
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APPROXIMATION OF CONTROLS FOR LINEAR WAVE EQUATIONS: A FIRST ORDER MIXED FORMULATION
... general wave equations. For instance, we must mention that wave equations of the form u tt −div(A(x)∇u) = f , can be handled in an analogous way as long as its ...
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Internal controllability of systems of semilinear coupled one-dimensional wave equations with one control
... linear wave equation can be found in [BLR92]. For quasi-linear wave equations, boundary controllability results for scalar systems with C 2 regular- ity can be found in [Li10, Chapter 5] and can be ...
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Stabilisation of wave equations on the torus with rough dampings
... the wave equation while the authors in [ 41 , 2 ] were interested in the Schrödinger equation, and (compared to [ 2 ]) we are dealing with worse quasi- modes (o(h) instead of o(h 2 ...damped wave equation ...
30
Introduction and study of fourth order theta schemes for linear wave equations
... Abstract A new class of high order, implicit, three time step schemes for semi-discretized wave equations is introduced and studied. These schemes are constructed using the modified equation approach, ...
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ASYMPTOTIC BEHAVIOUR OF NONLINEAR WAVE EQUATIONS IN A NONCYLINDRICAL DOMAIN BECOMING UNBOUNDED
... ear wave equations in a noncylindrical domain, becoming unbounded in some directions, as the time t goes to ...the wave converges to the solution of an elliptic problem defined on a lower dimensional ...
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Hybridizable discontinuous Galerkin method for the two-dimensional frequency-domain elastic wave equations
... SUMMARY Discontinuous Galerkin (DG) methods are nowadays actively studied and increasingly ex- ploited for the simulation of large-scale time-domain (i.e. unsteady) seismic wave prop- agation problems. Although ...
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Constructive exact controls for semi-linear wave equations
... Constructive exact controls for semi-linear wave equations.. Arthur Bottois, Jérôme Lemoine, Arnaud Munch.[r] ...
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Construction and convergence analysis of conservative second order local time discretisation for linear wave equations
... Maxwell’s equations (see [30]) and multi-level LTS (see ...scalar wave equation, a second order space-time convergence holds in the L 2 norm in ...linear wave equations, and to this purpose, ...
39
Null Controllability for Wave Equations with Memory
... for wave equations involving memory ...considered wave) to rest at some time-instant but also to require the memory term to vanish at the same time, ensuring that the whole process reaches the ...of ...
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On the dynamics of energy-critical focusing wave equations
... focusing wave equations ...nonlinear wave equation, with a special emphasis on the description of the dynamics in the energy ...equivariant wave map equation, we obtain bubble-antibubble ...
189
Dispersive effects and long-time asymptotics for wave equations in exterior domains
... Nicolas Burq, Rapporteur, Université Paris-Sud Jean-Marc Delort, Examinateur, Université Paris 13 Thomas Duyckaerts, Examinateur, Université Paris 13 Isabelle Gallagher, Examinatrice, Ec[r] ...
244
On critical and supercritical blow-up for the semilinear heat and wave equations
... reasonable equations in the hope of finding formulas to compute solutions by ...many equations, at least a rough answer to the existence of solutions is available, and it is then the knowledge of their ...
506
Energy preserving scheme for non linear systems of wave equations. Application to piano strings.
... [2] H. A. Conklin. Piano strings and “phantom” partials. Acoustical Society of America Journal, 102:659, July 1997. [3] D. Furihata. Finite-difference schemes for non- linear wave equation that inherit energy ...
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