Search Results - "Pryer, Tristan"

Conservative Galerkin methods for dispersive Hamiltonian problems by Jackaman, James, Pryer, Tristan

“…An energy conservative discontinuous Galerkin scheme for a generalised third order KdV type equation is designed. Based on the conservation principle, we…”
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On the numerical approximation of vectorial absolute minimisers in L by Katzourakis, Nikos, Pryer, Tristan

“…Let Ω be an open set. We consider the supremal functional 1 E ∞ ( u , O ) : = ‖ D u ‖ L ∞ ( O ) , O ⊆ Ω open , applied to locally Lipschitz mappings u : R n ⊇…”
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Energy consistent discontinuous Galerkin methods for the Navier--Stokes--Korteweg system by GIESSELMANN, JAN, MAKRIDAKIS, CHARALAMBOS, PRYER, TRISTAN

“…We design consistent discontinuous Galerkin finite element schemes for the approximation of the Euler-Korteweg and the Navier-Stokes-Korteweg systems. We show…”
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Noether-Type Discrete Conserved Quantities Arising from a Finite Element Approximation of a Variational Problem by Mansfield, Elizabeth L., Pryer, Tristan

“…In this work, we prove a weak Noether-type Theorem for a class of variational problems that admit broken extremals . We use this result to prove discrete…”
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A comparison of duality and energy a posteriori estimates for \mathrm{L}_{\infty}(0,T;\mathrm{L}_2(\varOmega)) in parabolic problems by Lakkis, Omar, Makridakis, Charalambos, Pryer, Tristan

“…-error which simplifies a previous one given by Lakkis and Makridakis in 2006. We then compare both estimators (duality vs. energy) in practical situations and…”
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On the numerical approximation of p‐biharmonic and ∞‐biharmonic functions by Katzourakis, Nikos, Pryer, Tristan

“…The ∞‐Bilaplacian is a third‐order fully nonlinear PDE given by Δ∞2u≔Δu3DΔu2=0. In this work, we build a numerical method aimed at quantifying the nature of…”
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A posteriori error estimates for the virtual element method by Cangiani, Andrea, Georgoulis, Emmanuil H., Pryer, Tristan, Sutton, Oliver J.

“…An posteriori error analysis for the virtual element method (VEM) applied to general elliptic problems is presented. The resulting error estimator is of…”
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A Lie symmetry analysis and explicit solutions of the two‐dimensional ∞‐Polylaplacian by Papamikos, Georgios, Pryer, Tristan

“…In this work, we consider the Lie point symmetry analysis of a strongly nonlinear partial differential equation of third order, the ∞‐Polylaplacian, in two…”
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On the numerical approximation of vectorial absolute minimisers in $$L^\infty by Katzourakis, Nikos, Pryer, Tristan

“…Abstract Let $$\Omega $$ Ω be an open set. We consider the supremal functional $$\begin{aligned} \text {E}_\infty (u,{\mathcal {O}})\, {:}{=}\, \Vert \text…”
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On the numerical approximation of ∞-harmonic mappings by Katzourakis, Nikos, Pryer, Tristan

“…A map u : Ω ⊆ R n ⟶ R N , is said to be ∞ -harmonic if it satisfies 1 The system ( 1 ) is the model of vector-valued Calculus of Variations in L ∞ and arises…”
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Hydraulic jumps & the role of surface tension by Calver, Edward, Pryer, Tristan, Lukyanov, Alex V.

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Recovered finite element methods by Georgoulis, Emmanuil H., Pryer, Tristan

“…We introduce a family of Galerkin finite element methods which are constructed via recovery operators over element-wise discontinuous approximation spaces…”
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A POSTERIORI ANALYSIS OF DISCONTINUOUS GALERKIN SCHEMES FOR SYSTEMS OF HYPERBOLIC CONSERVATION LAWS by GIESSELMANN, JAN, MAKRIDAKIS, CHARALAMBOS, PRYER, TRISTAN

“…In this work we construct reliable a posteriori estimates for some semi- (spatially) discrete discontinuous Galerkin schemes applied to nonlinear systems of…”
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The design of conservative finite element discretisations for the vectorial modified KdV equation by Jackaman, James, Papamikos, Georgios, Pryer, Tristan

“…We design a consistent Galerkin scheme for the approximation of the vectorial modified Korteweg–de Vries equation with periodic boundary conditions. We…”
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Reduced relative entropy techniques for a posteriori analysis of multiphase problems in elastodynamics by Giesselmann, Jan, Pryer, Tristan

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Dynamics of oil slicks on wavy water surfaces by Lukyanov, Alex V., Hozan, Hanan, Sialounas, Georgios, Pryer, Tristan

“…Abstract We hypothesize that the spread of oil slicks on the water’s surface during oil spills is significantly influenced by water wave motion at the initial…”
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Hydrodynamics of Moving Contact Lines: Macroscopic versus Microscopic by Lukyanov, Alex V, Pryer, Tristan

“…The fluid-mechanics community is currently divided in assessing the boundaries of applicability of the macroscopic approach to fluid mechanical problems. Can…”
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Reduced relative entropy techniques for a priori analysis of multiphase problems in elastodynamics by Giesselmann, Jan, Pryer, Tristan

“…We give an a priori analysis of a semi-discrete discontinuous Galerkin scheme approximating solutions to a model of multiphase elastodynamics which involves an…”
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A nodally bound-preserving finite element method by Barrenechea, Gabriel R, Georgoulis, Emmanuil H, Pryer, Tristan, Veeser, Andreas

“…Abstract This work proposes a nonlinear finite element method whose nodal values preserve bounds known for the exact solution. The discrete problem involves a…”
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On the numerical approximation of $$\infty $$ ∞ -harmonic mappings by Katzourakis, Nikos, Pryer, Tristan

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