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finite element method
Items for "finite element method"
Electrodynamic Heart Model Construction and ECG Simulation
OBJECTIVES: In this paper, we present a unified electrodynamic heart model that permits simulations of the body surface potentials generated by the heart in motion...
Keywords: Electromechanical heart model, finite element method, electrocardiogram, myocardial ischemia
01/2006 | Methods of Information in Medicine, SchattauerDynamic behaviour of cork and cork-filled aluminium tubes: Numerical simulation and innovative applications
Cork is a unique and complex natural cellular material with many industrial applications...
Keywords: agglomerate cork, aluminium foam, dynamic behaviour, energy absorption, finite element method
06/2007 | Holzforschung, Walter de GruyterNumerical solution of inverse heat conduction problems in two spatial dimensions
Inverse heat conduction problems (IHCPs) have been extensively studied over the last 50 years. They have numerous applications in many branches of science and technology...
Keywords: inverse heat conduction problem, regularization, noncharacteristic Cauchy problem for parabolic equations, finite element method
05/2007 | Journal of Inverse and Ill-posed Problems, Walter de GruyterA posteriori error estimation of goal-oriented quantities by the superconvergence patch recovery
The paper is concerned with
Keywords: a posteriori error estimation, quantities of interest, finite element method, differential equation of elliptic type, superconvergence
03/2003 | Journal of Numerical Mathematics, Walter de GruyterPenalty finite element approximations of the stationary power-law Stokes problem
Finite element approximations of the stationary power-law Stokes problem using penalty formulation are considered...
Keywords: Power-law flows, penalty method, stationary Stokes problem, non-Newtonian flows, finite element method, convergence and error estimates, BB condition
12/2003 | Journal of Numerical Mathematics, Walter de GruyterOptimal uniform convergence analysis for a singularly perturbed quasilinear reaction–diffusion problem
The standard conforming finite element methods on one type of highly nonuniform rectangular meshes are considered for solving the quasilinear singular perturbation problem -ε2(
Keywords: finite element method, singular perturbation, uniform convergence analysis
04/2004 | Journal of Numerical Mathematics, Walter de GruyterInterior superconvergence of finite element solutions for Stokes problems by local L
2 projections
This paper derives some interior superconvergence estimates for finite element solutions of the Stokes problem by a local
Keywords: interior error estimate, finite element method, superconvergence, L 2 projection method, Stokes problem
06/2004 | Journal of Numerical Mathematics, Walter de GruyterFinite element approximation of mass transfer in a porous medium with non equilibrium phase change
A finite element approximations with an implicit Euler scheme is analyzed. This involves numerical integration of a semi-linear parabolic-differential inclusion arising in a model of reactive mass transport in porous media with a dissolution/precipitation process...
Keywords: Reactiondiffusion, variational inequalities, convergence, finite element method
09/2004 | Journal of Numerical Mathematics, Walter de GruyterOn a direct approach to adaptive FE-discretisations for elliptic variational inequalities
The techniques to derive residual based error estimators for finite element discretisations of variational equations can be extended directly to variational inequalities by employing a suitable adaptation of Nitsche's idea (c.f...
Keywords: contact problem, obstacle problem, a posteriori error estimate, variational inequality, finite element method, Adaptivity
04/2005 | Journal of Numerical Mathematics, Walter de GruyterPartition of unity method on nonmatching grids for the Stokes problem
We consider the Stokes problem on a plane polygonal domain
Keywords: non-matching grid, finite element method, partition of unity, Stokes problem
09/2005 | Journal of Numerical Mathematics, Walter de GruyterOn adaptive computational methods: global norms controlling local errors
In this note, we continue our studies on optimised mesh design for the Finite Element (FE) method using global norm estimates for local error control...
Keywords: finite element method, Adaptivity, a posteriori error bounds
06/2006 | Journal of Numerical Mathematics, Walter de GruyterRegularity estimates for elliptic boundary value problems with smooth data on polygonal domains
We consider the model Dirichlet problem for Poisson's equation on a plane polygonal
convex domain
Keywords: interpolation spaces, finite element method, multilevel decomposition, shift theorems, subspace interpolation
06/2003 | Journal of Numerical Mathematics, Walter de GruyterThe influence of the root cross-section on the stress distribution in teeth restored with a positive-locking post and core design: a finite element study
Human teeth with substantial coronal defects are subject to reconstruction by means of post and core restorations...
Keywords: finite element method, positive locking, post and core restoration, radicular dentin, tooth
10/2008 | Biomedizinische Technik, Walter de GruyterFailure analysis of a new post-and-core restoration system using the finite element method
Human teeth with substantial coronal defects are subject to reconstruction by means of post-and-core restorations...
Keywords: failure mode, finite element method, positive locking, post-and-core restoration, tooth
10/2008 | Biomedizinische Technik, Walter de GruyterAnalysis of Simulated Single Ligament Transection on the Mechanical Behaviour of a Lumbar Functional Spinal Unit / Rechnerische Analyse des Einflusses der Bnder auf das mechanische Verhalten eines Bewegungssegments der Lendenwirbelsule
The influence of the different lumbar spinal ligaments on intersegmental rotation is not fully understood...
Keywords: biomechanics, Lumbar spine, Lumbar ligaments, finite element method, Ligament transection, Biomechanik, Lendenwirbelsule, Bnder, Finite-Elemente-Methode, Banddurchtrennung
02/2004 | Biomedizinische Technik, Walter de GruyterEffect of an interspinous implant on loads in the lumbar spine / Einfluss eines interspinsen Implantats auf die Belastungen der Lendenwirbelsule
Interspinous process implants are increasingly used to treat canal stenoses. Little information exists about the effects of implant height and stiffness on the biomechanical behavior of the lumbar spine...
Keywords: Lumbar spine, finite element method, interspinous implant, biomechanics, Lendenwirbelsule, Finite-Element-Methode, Wirbelsulenimplantat, Biomechanik
10/2005 | Biomedizinische Technik, Walter de GruyterEffects of the Rib Cage on Thoracic Spine Flexibility / Einfluss des Brustkorbs auf die Flexibilitt der Brustwirbelsule
Besides protecting the internal organs of the thorax, the rib cage is the site of numerous muscle attachments...
Keywords: finite element method, thoracic spine, rib cage, flexibility, Finite-Elemente-Methode, Brustwirbelsule, Brustkorb, Rippen, Flexibilitt
11/2005 | Biomedizinische Technik, Walter de GruyterEinfluss der Wirbelkrpersteifigkeit vor und nach Vertebroplastik auf den intradiskalen Druck / Effect of Vertebral Body Stiffness Before and After Vertebroplasty on Intradiscal pressure
Frakturen von osteoporotischen Wirbelkrpern werden zunehmend mit Knochenzement stabilisiert...
Keywords: Lendenwirbelsule, Vertebroplastik, Finite-Element-Methode, Steifigkeit, Bandscheibendruck, Lumbar spine, vertebroplasty, finite element method, stiffness, intradiscal pressure
05/2005 | Biomedizinische Technik, Walter de GruyterConvergence and stability of finite element modified method of characteristics for the incompressible Navier–Stokes equations
We present a convergence and stability analysis of the finite element modified method of characteristics for the incompressible Navier–Stokes equations...
Keywords: numerical analysis, incompressible NavierStokes equations, modified method of characteristics, finite element method
07/2007 | Journal of Numerical Mathematics, Walter de Gruyter