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A Rigorous Model Order Reduction Framework for Waste Heat Recovery Systems Based on Proper Orthogonal Decomposition and Galerkin Projection

IEEE Transactions on Control Systems Technology, 2020
A proper orthogonal decomposition (POD) and Galerkin projection-based model order reduction framework is developed for the evaporator heat exchanger in heavy-duty diesel engine organic Rankine cycle waste heat recovery system.
Bin Xu   +3 more
semanticscholar   +1 more source

Petrov-Galerkin Projection-Based Model Reduction with an Optimized Test Space

, 2020
Computational modeling is a pillar of modern aerospace research and is increasingly becoming more important in the engineering process as computer technology and numerical methods grow more powerful and sophisticated.
G. Collins, K. Fidkowski, C. Cesnik
semanticscholar   +1 more source

Galerkin Projections for Delay Differential Equations

Journal of Dynamic Systems, Measurement, and Control, 2003
We present a Galerkin projection technique by which finite-dimensional ordinary differential equation (ODE) approximations for delay differential equations (DDEs) can be obtained in a straightforward fashion. The technique requires neither the system to be near a bifurcation point, nor the delayed terms to have any specific restrictive form, or even ...
Wahi, Pankaj, Chatterjee, Anindya
openaire   +1 more source

Nonlinear Projection Filter Based on Galerkin Approximation

Journal of Guidance, Control, and Dynamics, 1999
The conditional probability density function of the state of a stochastic dynamic system represents the complete solution to the nonlinear Ž ltering problem because, with the conditional density in hand, all estimates of the state, optimal or otherwise, can be computed.
Randal Beard   +4 more
openaire   +1 more source

Galerkin Projections and Finite Elements for Fractional Order Derivatives

Nonlinear Dynamics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Singh, Satwinder Jit   +1 more
openaire   +2 more sources

Superconvergence and H(div) projection for discontinuous Galerkin methods

International Journal for Numerical Methods in Fluids, 2003
AbstractWe introduce and analyse a projection of the discontinuous Galerkin (DG) velocity approximations that preserve the local mass conservation property. The projected velocities have the additional property of continuous normal component. Both theoretical and numerical convergence rates are obtained which show that the accuracy of the DG velocity ...
Bastian, Peter, Rivière, Béatrice
openaire   +1 more source

Multiple Scales via Galerkin Projections: Approximate Asymptotics for Strongly Nonlinear Oscillations

Nonlinear Dynamics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, SL, Chatterjee, A
openaire   +2 more sources

Bounds of Galerkin Projections on Splines with Highly Nonuniform Meshes

SIAM Journal on Numerical Analysis, 1981
Let u be the solution of an ordinary boundary value problem and $P^\pi u$ the Galerkin projection on a space of piecewise polynomial functions of degree $ \leqq r$. We are going to prove that the following estimate holds with $L_\infty $-norms; \[ \left\| {P^\pi u - u} \right\|_{[0,1]} \leqq C \mathop {\max }\limits_i h_i^{ * r + 1} \left\| {u^{(r + 1)}
openaire   +1 more source

Multigrid transfers for nonsymmetric systems based on Schur complements and Galerkin projections

Numerical Linear Algebra with Applications, 2013
SUMMARYA framework is proposed for constructing algebraic multigrid transfer operators suitable for nonsymmetric positive definite linear systems. This framework follows a Schur complement perspective as this is suitable for both symmetric and nonsymmetric systems.
Wiesner, T. A.   +3 more
openaire   +2 more sources

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