Search Results - "Bochev, Pavel B."

Stabilization of Low-Order Mixed Finite Elements for the Stokes Equations by Bochev, Pavel B., Dohrmann, Clark R., Gunzburger, Max D.

“…We present a new family of stabilized methods for the Stokes problem. The focus of the paper is on the lowest order velocity-pressure pairs. While not LBB…”
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A stabilized finite element method for the Stokes problem based on polynomial pressure projections by Dohrmann, Clark R., Bochev, Pavel B.

“…A new stabilized finite element method for the Stokes problem is presented. The method is obtained by modification of the mixed variational equation by using…”
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AN OPTIMIZATION-BASED ATOMISTIC-TO-CONTINUUM COUPLING METHOD by OLSON, DEREK, BOCHEV, PAVEL B., LUSKIN, MITCHELL, SHAPEEV, ALEXANDER V.

“…We present a new optimization-based method for atomistic-to-continuum (AtC) coupling. The main idea is to cast the latter as a constrained optimization problem…”
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Correction to: An Analysis of FPGA LUT Bias and Entropy for Physical Unclonable Functions by Jao, Jenilee, Wilcox, Ian, Thotakura, Sriram, Chan, Calvin, Plusquellic, Jim, Paskaleva, Biliana S., Bochev, Pavel B.

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An Analysis of FPGA LUT Bias and Entropy for Physical Unclonable Functions by Jao, Jenilee, Wilcox, Ian, Thotakura, Sriram, Chan, Calvin, Plusquellic, Jim, Paskaleva, Biliana S., Bochev, Pavel B.

“…Process variations within Field Programmable Gate Arrays (FPGAs) provide a rich source of entropy and are therefore well-suited for the implementation of…”
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Formulation and computation of dynamic, interface-compatible Whitney complexes in three dimensions by Kramer, Richard M.J., Siefert, Christopher M., Voth, Thomas E., Bochev, Pavel B.

“…A discrete De Rham complex enables compatible, structure-preserving discretizations for a broad range of partial differential equations problems. Such…”
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A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method by Hughes, Thomas J.R., Scovazzi, Guglielmo, Bochev, Pavel B., Buffa, Annalisa

“…Proliferation of degrees-of-freedom has plagued discontinuous Galerkin methodology from its inception over 30 years ago. This paper develops a new…”
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A Computational Study of Stabilized, Low-order C 0 Finite Element Approximations of Darcy Equations by Bochev, Pavel B., Dohrmann, Clark R.

“…We consider finite element methods for the Darcy equations that are designed to work with standard, low order C0 finite element spaces. Such spaces remain a…”
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Algebraically constrained extended edge element method (eXFEM-AC) for resolution of multi-material cells by Kramer, Richard M.J., Bochev, Pavel B., Siefert, Christopher M., Voth, Thomas E.

“…Surface effects are critical to the predictive simulation of electromagnetics as current tends to concentrate near material interfaces. There are two principal…”
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REHABILITATION OF THE LOWEST-ORDER RAVIART–THOMAS ELEMENT ON QUADRILATERAL GRIDS by BOCHEV, PAVEL B., RIDZAL, DENIS

“…A recent study [D. N. Arnold, D. Boffi, and R. S. Falk, SIAM J. Numer. Anal., 42 (2005), pp. 2429-2451] reveals that convergence of finite element methods…”
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ANALYSIS AND COMPUTATION OF COMPATIBLE LEAST-SQUARES METHODS FOR DIV-CURL EQUATIONS by BOCHEV, PAVEL B., PETERSON, KARA, SIEFERT, CHRISTOPHER M.

“…We develop and analyze least-squares finite element methods for two complementary div-curl elliptic boundary value problems. The first one prescribes the…”
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AN OPTIMIZATION-BASED APPROACH FOR THE DESIGN OF PDE SOLUTION ALGORITHMS by BOCHEV, PAVEL B., RIDZAL, DENIS

“…We develop and analyze an optimization-based approach for the robust and efficient solution of PDE problems consisting of multiple physics operators with…”
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On stabilized finite element methods for the Stokes problem in the small time step limit by Bochev, Pavel B., Gunzburger, Max D., Lehoucq, Richard B.

“…Recent studies indicate that consistently stabilized methods for unsteady incompressible flows, obtained by a method of lines approach may experience…”
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Finite Element Methods of Least-Squares Type by Bochev, Pavel B., Gunzburger, Max D.

“…We consider the application of least-squares variational principles to the numerical solution of partial differential equations. Our main focus is on the…”
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Analysis of Least-Squares Finite Element Methods for the Navier-Stokes Equations by Bochev, Pavel B.

“…In this paper we study finite element methods of least-squares type for the stationary, incompressible Navier-Stokes equations in two and three dimensions. We…”
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A coupling approach for linear elasticity problems with spatially non-coincident discretized interfaces by Cheung, James, Perego, Mauro, Bochev, Pavel B., Gunzburger, Max D.

“…Here we present a new method for coupled linear elasticity problems whose finite element discretization may lead to spatially non-coincident discretized…”
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A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions by D’Elia, Marta, Perego, Mauro, Bochev, Pavel, Littlewood, David

“…We develop and analyze an optimization-based method for the coupling of nonlocal and local diffusion problems with mixed volume constraints and boundary…”
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Optimization-based, property-preserving algorithm for passive tracer transport by Peterson, Kara, Bochev, Pavel, Ridzal, Denis

“…We present a new optimization-based property-preserving algorithm for passive tracer transport. The algorithm utilizes a semi-Lagrangian approach based on…”
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Optimization-based additive decomposition of weakly coercive problems with applications by Bochev, Pavel, Ridzal, Denis

“…We present an abstract mathematical framework for an optimization-based additive decomposition of a large class of variational problems into a collection of…”
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Interface flux recovery framework for constructing partitioned heterogeneous time-integration methods by Sockwell, Kenneth Chadwick, Bochev, Pavel B., Peterson, Kara J., Kuberry, Paul Allen

“…Abstract A common approach for the development of partitioned schemes employing different time integrators on different subdomains is to lag the coupling terms…”
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