Explore the benefits and challenges of high-order methods in scientific simulations through this conference talk from the MFEM Workshop 2022. Delve into Will Pazner's presentation on "High-Order Solvers + GPU Acceleration," which covers the advantages of high-order methods for modeling under-resolved physics and their performance on modern computing architectures. Learn about MFEM's support for matrix-free solvers in high-order methods, the setup and application of high-order operators, and low-order-refined (LOR) preconditioning and matrix assembly. Gain insights into LOR assembly throughput on GPUs, including comparisons between CPU and GPU performance and parallel scalability. Discover the potential of LOR adaptive mesh refinement preconditioning in enhancing simulation accuracy and efficiency.