First, the effectivity of classical Proper Generalized Decomposition (PGD) computational\nmethods is analyzed on a one dimensional transient diffusion benchmark problem,\nwith a moving load. Classical PGD methods refer to Galerkin, Petrovââ?¬â??Galerkin and Minimum\nResidual formulations. A new and promising PGD computational method based\non the Constitutive Relation Error concept is then proposed and provides an improved,\nimmediate and robust reduction error estimation. All those methods are compared to\na reference Singular Value Decomposition reduced solution using the energy norm.\nEventually, the variable separation assumption itself (here time and space) is analyzed\nwith respect to the loading velocity.
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