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Showing 1 to 12 of 12 for “"Higher-order Finite Element"”.

  1. Improving shock-capturing robustness for higher-order finite element solvers

    … process when detecting nonphysical values. In order to improve the robustness of grid adaptation on initially coarse meshes, this thesis presents methods to converge solutions in the presence of nonphysical oscillations. A high order discontinuous Galerkin (DG) framework is used to discretize …

    mit Repository record for Improving shock-capturing robustness for higher-order finite element solvers (opens in a new tab)

  2. On the convergence of higher-order finite element methods to weak solutions

    … to the PDE must converge to weak solutions in order for the discontinuity propagation speed to be correct. As shown by the Lax-Wendroff theorem, one method to guarantee that convergence, if it occurs, will be to a weak solution is to use a discretely conservative scheme. However, discrete …

    mit Repository record for On the convergence of higher-order finite element methods to weak solutions (opens in a new tab)

  3. Higher-Order Finite Element -Boundary Integral Methods for Electromagnetic Scattering and Radiation Analysis

    Higher-order finite element-boundary integral (FE-BI) methods are studied for fast and accurate numerical analysis of electromagnetic scattering and radiation problems. First, a higher-order FE-BI method is presented for the scattering analysis of large, deep, and arbitrarily shaped open cavities. …

    uiuc Repository record for Higher-Order Finite Element -Boundary Integral Methods for Electromagnetic Scattering and Radiation Analysis (opens in a new tab)

  4. A Higher-Order Finite Element Method for Computing the Radar Cross Section of Bodies of Revolution

    The finite element method (FEM) is used to compute the radar cross section (RCS) of bodies of revolution (BORs). The FEM described here uses scalar basis functions for the &phis; component of the field and vector basis functions for the transverse component of the field. Higher-order basis …

    uiuc Repository record for A Higher-Order Finite Element Method for Computing the Radar Cross Section of Bodies of Revolution (opens in a new tab)

  5. A Higher -Order Finite Element: Boundary Integral Method for Electromagnetic Scattering and Radiation From Bodies of Revolution

    The hybrid finite element - boundary integral method (FE-BI) is used to compute the radar cross section (RCS) and radiated fields of bodies of revolution (BOR). This is a 2.5-D problem since it allows simulations in a 2-D domain to correspond to a full 3-D object. The interior region, which …

    uiuc Repository record for A Higher -Order Finite Element: Boundary Integral Method for Electromagnetic Scattering and Radiation From Bodies of Revolution (opens in a new tab)

  6. On the Application of an Output-based Adaptive, Higher-order Finite Element Method to Sonic Boom Propagation

    … boom propagation using an output-based adaptive, higher-order finite element method. The research employs the Variational Multiscale with Discontinuous Subscales (VMSD) method, integrating Continuous Galerkin (CG) and Discontinuous Galerkin (DG) features, referred to as VMSD-BR2. This approach …

    mit Repository record for On the Application of an Output-based Adaptive, Higher-order Finite Element Method to Sonic Boom Propagation (opens in a new tab)

  7. A stabilized finite element dynamic overset method for the Navier-Stokes equations

    In terms of mesh resolution requirements, higher-order finite element discretization methods offer a more economic means of obtaining accurate simulations and/or to resolve physics at scales not possible with lower-order schemes. For simulations that may have large relative motion between multiple …

    utc Repository record for A stabilized finite element dynamic overset method for the Navier-Stokes equations (opens in a new tab)

  8. A stabilized finite element dynamic overset method for the Navier-Stokes equations

    In terms of mesh resolution requirements, higher-order finite element discretization methods offer a more economic means of obtaining accurate simulations and/or to resolve physics at scales not possible with lower-order schemes. For simulations that may have large relative motion between multiple …

    utc Repository record for A stabilized finite element dynamic overset method for the Navier-Stokes equations (opens in a new tab)

  9. A Higher Order Accurate Finite Element Method for Viscous Compressible Flows

    … (SU/PG) method is applied to higher-order finite-element discretizations of the Euler equations in one dimension and the Navier-Stokes equations in two dimensions. The unknown flow quantities are discretized on meshes of triangular elements using triangular Bezier patches. The …

    vt Repository record for A Higher Order Accurate Finite Element Method for Viscous Compressible Flows (opens in a new tab)

  10. Automatic higher order mesh generation and movement utilizing spring-field and vector-adding

    … regions. After generating the linear mesh, a higher-order finite-element ready, curved mesh is obtained by deforming the linear mesh through “pipes” using a simple Vector-Adding approach. Different from most curved viscous mesh generation approaches, this method eschews a linear or nonlinear …

    utc Repository record for Automatic higher order mesh generation and movement utilizing spring-field and vector-adding (opens in a new tab)

  11. An hp-Adaptive Petrov-Galerkin Method for Steady-State and Unsteady Flow Problems

    After several decades of development, higher-order finite-element methods are now being considered for realistic and large scale Computational Fluid Dynamics (CFD) simulations. This necessitates further studies on utilization of mesh adaptation techniques in order to reach reliable solutions at …

    utc Repository record for An hp-Adaptive Petrov-Galerkin Method for Steady-State and Unsteady Flow Problems (opens in a new tab)