diff --git a/reframe_tests/reframe_tests.py b/reframe_tests/reframe_tests.py
index e4fe6a58..30ae518b 100644
--- a/reframe_tests/reframe_tests.py
+++ b/reframe_tests/reframe_tests.py
@@ -69,11 +69,13 @@ class BasicModelsTest(GprMaxRegressionTest):
             "2D_ExHyHz",
             "2D_EyHxHz",
             "2D_EzHxHy",
+            "2D_ExHyHz_hs",
             "cylinder_Ascan_2D",
             "hertzian_dipole_fs",
             "hertzian_dipole_hs",
             "hertzian_dipole_dispersive",
             "magnetic_dipole_fs",
+            "magnetic_dipole_hs",
         ]
     )
     num_cpus_per_task = 16
@@ -165,11 +167,13 @@ class MPIBasicModelsTest(GprMaxRegressionTest):
             "2D_ExHyHz",
             "2D_EyHxHz",
             "2D_EzHxHy",
+            "2D_ExHyHz_hs",
             "cylinder_Ascan_2D",
             "hertzian_dipole_fs",
             "hertzian_dipole_hs",
             "hertzian_dipole_dispersive",
             "magnetic_dipole_fs",
+            "magnetic_dipole_hs",
         ]
     )
     num_cpus_per_task = 16
diff --git a/reframe_tests/regression_checks/BasicModelsTest_c768f2b8.h5 b/reframe_tests/regression_checks/BasicModelsTest_c768f2b8.h5
new file mode 100644
index 00000000..2e7c4c12
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diff --git a/reframe_tests/regression_checks/BasicModelsTest_d294e091.h5 b/reframe_tests/regression_checks/BasicModelsTest_d294e091.h5
new file mode 100644
index 00000000..bf2f6816
Binary files /dev/null and b/reframe_tests/regression_checks/BasicModelsTest_d294e091.h5 differ
diff --git a/reframe_tests/src/2D_ExHyHz_hs.in b/reframe_tests/src/2D_ExHyHz_hs.in
new file mode 100644
index 00000000..682f51d0
--- /dev/null
+++ b/reframe_tests/src/2D_ExHyHz_hs.in
@@ -0,0 +1,13 @@
+#title: 2D test Ex, Hy, Hz components
+#domain: 0.001 0.010 0.010
+#dx_dy_dz: 0.001 0.001 0.001
+#time_window: 3e-9
+
+#pml_cells: 0
+
+#waveform: gaussiandot 1 1e9 myWave
+#hertzian_dipole: x 0 0.005 0.005 myWave
+#rx: 0 0.002 0.002
+
+#material: 8 0 1 0 half_space
+#box: 0 0 0 0.001 0.004 0.004 half_space
diff --git a/reframe_tests/src/magnetic_dipole_hs.in b/reframe_tests/src/magnetic_dipole_hs.in
new file mode 100644
index 00000000..57e24168
--- /dev/null
+++ b/reframe_tests/src/magnetic_dipole_hs.in
@@ -0,0 +1,11 @@
+#title: Magnetic dipole over a half-space
+#domain: 0.100 0.100 0.100
+#dx_dy_dz: 0.001 0.001 0.001
+#time_window: 3e-9
+
+#waveform: gaussiandot 1 1e9 myWave
+#magnetic_dipole: z 0.050 0.050 0.050 myWave
+#rx: 0.070 0.070 0.070
+
+#material: 8 0 1 0 half_space
+#box: 0 0 0 0.100 0.100 0.050 half_space